Atkin-Lehner |
7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
79261d |
Isogeny class |
Conductor |
79261 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
576576 |
Modular degree for the optimal curve |
Δ |
-45009884786021701 = -1 · 77 · 138 · 67 |
Discriminant |
Eigenvalues |
1 -2 -2 7- 3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10482,-10216555] |
[a1,a2,a3,a4,a6] |
Generators |
[765:20344:1] |
Generators of the group modulo torsion |
j |
-156116857/55177381 |
j-invariant |
L |
4.550091427913 |
L(r)(E,1)/r! |
Ω |
0.16113007864572 |
Real period |
R |
4.0340888954629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79261a1 |
Quadratic twists by: 13 |